The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are increasing at a rate of 5 meters per hour. When the radius is 3 meters, and the sides are 15 meters, chen how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per hour.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
A circle is inside a square.
The radius of the circle is increasing at a rate of 1 meter per
hour and the sides of the square are increasing at a rate of 5
meters per hour.
When the radius is 3 meters, and the sides are 15 meters,
then how fast is the AREA outside the circle but inside the
square changing?
The rate of change of the area enclosed between the circle
and the square is
square meters per hour.
Transcribed Image Text:A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are increasing at a rate of 5 meters per hour. When the radius is 3 meters, and the sides are 15 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per hour.
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